%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:15 PM UTC 2026
% Result : Theorem 2.80s 1.26s
% Output : Refutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 83 ( 8 unt; 6 def)
% Number of atoms : 240 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 274 ( 117 ~; 132 |; 12 &)
% ( 11 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 67 ( 0 sgn 61 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_7) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> dissimilar(X0,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
? [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<~> dissimilar(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
? [X0,X1,X2] :
( ( ~ dissimilar(X0,X2,X1)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X2,X1)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f15,plain,
( ( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) )
& ( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f14]) ).
fof(f16,plain,
! [X2,X0,X1] :
( is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f18,plain,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
( dissimilar(sK0,sK2,sK1)
| dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
( ~ dissimilar(sK0,sK2,sK1)
| ~ dissimilar(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f24,definition,
( spl3_1
<=> dissimilar(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f25,plain,
( dissimilar(sK0,sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f27,definition,
( spl3_2
<=> dissimilar(sK0,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f28,plain,
( dissimilar(sK0,sK2,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f29,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f21,f27,f24]) ).
fof(f30,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f31,plain,
( ~ dissimilar(sK0,sK2,sK1)
| spl3_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f32,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f22,f27,f24]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X3,X4) ),
inference(resolution,[],[f19,f18]) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X1)
| ~ is_aligned(X0,X2)
| ~ dissimilar(X0,X3,X4) ),
inference(resolution,[],[f20,f18]) ).
fof(f54,plain,
( ! [X0,X1] :
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ dissimilar(sK0,X0,X1) )
| spl3_1 ),
inference(resolution,[],[f36,f30]) ).
fof(f60,definition,
( spl3_3
<=> ! [X0,X1] : ~ dissimilar(sK0,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f61,plain,
( ! [X0,X1] : ~ dissimilar(sK0,X0,X1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f63,definition,
( spl3_4
<=> is_aligned(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f64,plain,
( ~ is_aligned(sK0,sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f66,definition,
( spl3_5
<=> is_aligned(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f67,plain,
( is_aligned(sK0,sK2)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( spl3_3
| ~ spl3_4
| spl3_5
| spl3_1 ),
inference(avatar_split_clause,[],[f54,f24,f66,f63,f60]) ).
fof(f117,definition,
( spl3_6
<=> ! [X0] :
( ~ dissimilar(sK0,sK1,X0)
| ~ is_aligned(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f118,plain,
( ! [X0] :
( ~ is_aligned(sK0,X0)
| ~ dissimilar(sK0,sK1,X0) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f163,plain,
( ~ is_aligned(sK0,sK2)
| spl3_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f168,plain,
( $false
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f61,f28]) ).
fof(f170,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f177,plain,
( ! [X0,X1] :
( is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| ~ dissimilar(sK0,X0,X1) )
| spl3_2 ),
inference(resolution,[],[f31,f36]) ).
fof(f178,plain,
( is_aligned(sK0,sK1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f179,plain,
( spl3_3
| ~ spl3_5
| spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f177,f27,f63,f66,f60]) ).
fof(f189,plain,
( ! [X0] :
( is_aligned(sK0,X0)
| ~ dissimilar(sK0,sK1,X0) )
| spl3_4 ),
inference(resolution,[],[f64,f16]) ).
fof(f193,plain,
( ! [X0] :
( is_aligned(sK0,X0)
| ~ dissimilar(sK0,sK2,X0) )
| spl3_5 ),
inference(resolution,[],[f163,f16]) ).
fof(f195,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl3_4
| spl3_5 ),
inference(resolution,[],[f189,f163]) ).
fof(f199,plain,
( ~ spl3_1
| spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f195,f66,f63,f24]) ).
fof(f229,plain,
( ~ dissimilar(sK0,sK2,sK1)
| spl3_4
| spl3_5 ),
inference(resolution,[],[f193,f64]) ).
fof(f238,plain,
( ~ spl3_2
| spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f229,f66,f63,f27]) ).
fof(f242,plain,
( ! [X0] :
( ~ is_aligned(sK0,X0)
| ~ dissimilar(sK0,sK1,X0) )
| ~ spl3_4 ),
inference(resolution,[],[f178,f17]) ).
fof(f243,plain,
( ! [X0] :
( ~ is_aligned(sK0,X0)
| ~ dissimilar(sK0,X0,sK1) )
| ~ spl3_4 ),
inference(resolution,[],[f178,f17]) ).
fof(f245,plain,
( ! [X0,X1] :
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ dissimilar(sK0,X0,X1) )
| spl3_2 ),
inference(resolution,[],[f31,f38]) ).
fof(f247,plain,
( spl3_3
| ~ spl3_4
| spl3_5
| spl3_2 ),
inference(avatar_split_clause,[],[f245,f27,f66,f63,f60]) ).
fof(f248,plain,
( $false
| ~ spl3_1
| ~ spl3_3 ),
inference(resolution,[],[f61,f25]) ).
fof(f251,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f252,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ spl3_5
| ~ spl3_6 ),
inference(resolution,[],[f67,f118]) ).
fof(f256,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f252,f117,f66,f24]) ).
fof(f257,plain,
( spl3_6
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f242,f63,f117]) ).
fof(f258,plain,
( ! [X0,X1] :
( is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| ~ dissimilar(sK0,X0,X1) )
| spl3_1 ),
inference(resolution,[],[f30,f38]) ).
fof(f261,plain,
( ~ dissimilar(sK0,sK2,sK1)
| ~ spl3_4
| ~ spl3_5 ),
inference(resolution,[],[f243,f67]) ).
fof(f266,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f261,f66,f63,f27]) ).
fof(f267,plain,
( spl3_3
| ~ spl3_5
| spl3_4
| spl3_1 ),
inference(avatar_split_clause,[],[f258,f24,f63,f66,f60]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
( spl3_1
| spl3_3
| ~ spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f68]) ).
cnf(s7,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f170]) ).
cnf(s9,plain,
( spl3_2
| spl3_3
| spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f179]) ).
cnf(s11,plain,
( ~ spl3_1
| spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f199]) ).
cnf(s14,plain,
( ~ spl3_2
| spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f238]) ).
cnf(s16,plain,
( spl3_2
| spl3_3
| ~ spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f247]) ).
cnf(s17,plain,
( ~ spl3_1
| ~ spl3_3 ),
inference(sat_conversion,[],[f251]) ).
cnf(s18,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_6 ),
inference(sat_conversion,[],[f256]) ).
cnf(s19,plain,
( ~ spl3_4
| spl3_6 ),
inference(sat_conversion,[],[f257]) ).
cnf(s21,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f266]) ).
cnf(s22,plain,
( spl3_1
| spl3_3
| spl3_4
| ~ spl3_5 ),
inference(sat_conversion,[],[f267]) ).
cnf(s23,plain,
( spl3_4
| spl3_1 ),
inference(rat,[],[s22,s14,s7,s1]) ).
cnf(s24,plain,
spl3_1,
inference(rat,[],[s3,s21,s23,s7,s1]) ).
cnf(s25,plain,
~ spl3_3,
inference(rat,[],[s17,s24]) ).
cnf(s26,plain,
~ spl3_2,
inference(rat,[],[s2,s24]) ).
cnf(s27,plain,
spl3_4,
inference(rat,[],[s9,s11,s25,s26,s24]) ).
cnf(s28,plain,
spl3_6,
inference(rat,[],[s19,s27]) ).
cnf(s30,plain,
spl3_5,
inference(rat,[],[s16,s26,s25,s27]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s18,s24,s28,s30]) ).
fof(f268,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:23:51 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.80/1.26 % (2822423)Detected formulas, will run a generic FOF schedule.
% 2.80/1.26 % (2822431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3197030794:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.80/1.26 % (2822431)Refutation not found, incomplete strategy
% 2.80/1.26 % (2822431)------------------------------
% 2.80/1.26 % (2822431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.26 % (2822431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.26 % (2822431)CaDiCaL version: 2.1.3
% 2.80/1.26 % (2822431)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.26 % (2822431)Time elapsed: 0.0000 s
% 2.80/1.26 % (2822431)Peak memory usage: 87 MB
% 2.80/1.26 % (2822432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3922610505:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.80/1.26 % (2822428)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3775933983:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.80/1.26 % (2822430)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=723075884:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.80/1.26 % (2822434)dis-21_1_sil=8000:lcm=predicate:random_seed=1505375226:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.80/1.26 % (2822429)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=720650603:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.80/1.26 % (2822433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3729466431:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.80/1.26 % (2822432)Refutation not found, incomplete strategy
% 2.80/1.26 % (2822432)------------------------------
% 2.80/1.26 % (2822432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.26 % (2822432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.26 % (2822432)CaDiCaL version: 2.1.3
% 2.80/1.26 % (2822432)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.26 % (2822432)Time elapsed: 0.001 s
% 2.80/1.26 % (2822432)Peak memory usage: 87 MB
% 2.80/1.26 % (2822434)First to succeed.
% 2.80/1.26 % (2822434)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2822423"
% 2.80/1.26 % (2822433)Also succeeded, but the first one will report.
% 2.80/1.26 % (2822431)------------------------------
% 2.80/1.26 % (2822431)------------------------------
% 2.80/1.26 % (2822442)lrs+10_1_sil=8000:sp=occurrence:random_seed=572457130:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.80/1.26 % (2822442)Also succeeded, but the first one will report.
% 2.80/1.26 % (2822432)------------------------------
% 2.80/1.26 % (2822432)------------------------------
% 2.80/1.26 % (2822434)Refutation found. Thanks to Tanya!
% 2.80/1.26 % SZS status Theorem for theBenchmark
% 2.80/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.49/1.45 % (2822434)------------------------------
% 3.49/1.45 % (2822434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.45 % (2822434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.45 % (2822434)CaDiCaL version: 2.1.3
% 3.49/1.45 % (2822434)Termination reason: Refutation
% 3.49/1.45 % (2822434)Time elapsed: 0.006 s
% 3.49/1.45 % (2822434)Peak memory usage: 89 MB
% 3.49/1.45 % (2822434)Instructions burned: 7 (million)
% 3.49/1.45 % (2822434)------------------------------
% 3.49/1.45 % (2822434)------------------------------
% 3.49/1.45 % (2822423)Success in time 0.409 s
% 3.49/1.45 % Vampire exiting
%------------------------------------------------------------------------------